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Simplifying 27(5 + k) = 189 (5 * 27 + k * 27) = 189 (135 + 27k) = 189 Solving 135 + 27k = 189 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-135' to each side of the equation. 135 + -135 + 27k = 189 + -135 Combine like terms: 135 + -135 = 0 0 + 27k = 189 + -135 27k = 189 + -135 Combine like terms: 189 + -135 = 54 27k = 54 Divide each side by '27'. k = 2 Simplifying k = 2
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